Connect the iOS device to your computer and restore via iTunes. Place the iPod in Recovery Mode if necessary to allow the restore.
If recovery mode does not work try DFU mode.
For how to restore:
To restore from backup see:
If you restore from iCloud backup the apps will be automatically downloaded. If you restore from iTunes backup the apps and music have to be in the iTunes library since synced media like apps and music are not included in the iPod backup that iTunes makes.
You can redownload iTuns purchases by:
Restore loop (being prompted to restore again after a restore successfully completes)
Troubleshoot your USB connection. If the issue persists, out-of-date or incorrectly configured third-party security software may be causing this issue. Please follow Troubleshooting security software issues. .
Next try placing in DFU mode and then restoring.
Then try restoring on another computer.
Last, make an appointment at the Genius Bar of an Apple store.